Preheat the oven to 325 degrees.
Melt the butter and let cool.
Using the whisk attachment of a mixer, beat at a medium speed until fluffy. Add the sugars and beat to combine.
Add the butter, applesauce, vanilla, flours, cocoa powder, baking powder, and salt to the egg-sugar mixture and mix until combined. Stir in the chocolate chips.
Pour the batter into a greased 8-inch square pan and bake for 45 minutes. The brownies are done when a toothpick inserted in the middle comes out clean.